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What is the Least Common Multiple of 5751 and 5769?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 5751 and 5769 is 3686391.

LCM(5751,5769) = 3686391

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Least Common Multiple of 5751 and 5769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5751 and 5769, than apply into the LCM equation.

GCF(5751,5769) = 9
LCM(5751,5769) = ( 5751 × 5769) / 9
LCM(5751,5769) = 33177519 / 9
LCM(5751,5769) = 3686391

Least Common Multiple (LCM) of 5751 and 5769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5751 and 5769. First we will calculate the prime factors of 5751 and 5769.

Prime Factorization of 5751

Prime factors of 5751 are 3, 71. Prime factorization of 5751 in exponential form is:

5751 = 34 × 711

Prime Factorization of 5769

Prime factors of 5769 are 3, 641. Prime factorization of 5769 in exponential form is:

5769 = 32 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 5751 and 5769.

LCM(5751,5769) = 34 × 711 × 6411
LCM(5751,5769) = 3686391